Solution Found!
8. Snow. Based on meteorological data for the past
Chapter 23, Problem 8(choose chapter or problem)
8. Snow. Based on meteorological data for the past century,a local TV weather forecaster estimates that the regionsaverage winter snowfall is with a margin of errorof inches. Assuming he used a 95% confidenceinterval, how should viewers interpret this news? Commenton each of these statements:a) During 95 of the last 100 winters, the region got betweenand of nows .b) Theres a 95% chance the region will get betweenand of snow this winter.c) There will be between and of snow on theground for 95% of the winter days.d) Residents can be 95% sure that the areas averagesnowfall is between and .e) Residents can be 95% confident that the averagesnowfall during the last century was betweenand per winter.
Questions & Answers
QUESTION:
8. Snow. Based on meteorological data for the past century,a local TV weather forecaster estimates that the regionsaverage winter snowfall is with a margin of errorof inches. Assuming he used a 95% confidenceinterval, how should viewers interpret this news? Commenton each of these statements:a) During 95 of the last 100 winters, the region got betweenand of nows .b) Theres a 95% chance the region will get betweenand of snow this winter.c) There will be between and of snow on theground for 95% of the winter days.d) Residents can be 95% sure that the areas averagesnowfall is between and .e) Residents can be 95% confident that the averagesnowfall during the last century was betweenand per winter.
ANSWER:Problem 8
Snow Based on meteorological data for the past century, a local TV weather forecaster estimates that the region’s average winter snowfall is 23” with a margin of error of (2 inches Assuming he used a 95% confidence interval, how should viewers interpret their news? Comment on each of the statements:
a) During 95 of the last 100 winters, the region got between 21” and 25” of snow.
b) There’s a 95% chance the regions will get between 21” and 25” of snow this winter.
c) There will be between 21” and 25” of snow on the ground for 95% of the winter days.
d) Residents can be 95% sure that the area’s average snowfall is between 21” and 25”
e) Residents can be 95% confident that the average snowfall during the last century was between 21” and 25” per winter.
Step by Step Solution
Step 1 of 5
a)
Explanation: The confidence interval is about the entire population mean and not about the individual measurements in the population.